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\(\left(2x-1\right)^4=16=\left(\pm2\right)^4\\ =>\left[{}\begin{matrix}2x-1=2\\2x-1=-2\end{matrix}\right.\\ =>\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=-\dfrac{1}{2}\end{matrix}\right.\)
\(\left(2x+1\right)^3=125=5^3\\ =>2x+1=1\\ =>x=2\)
1,
a/ n2 + 12n vay n co the = 2;3;5;7;11;...
=> nhung so nguyen to co 1 chu so vay n=2;3;5;7
b/ 3n + 6 vay n co the = 2;3;5;7;11;....
=> nhung so nguyen to + vao sao cho 6 ko qua 1 chu so vay n=2;3
1. \(2^x-26=6\)
\(\Rightarrow2^x=6+26\)
\(\Rightarrow2^x=32\)
\(\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
2. \(64\cdot4^x=16^8\)
\(\Rightarrow4^3\cdot4^x=4^{16}\)
\(\Rightarrow4^x=4^{16}:4^3\)
\(\Rightarrow4^x=4^{13}\)
\(\Rightarrow x=13\)
3. \(\left(2x-1\right)^4=16\)
\(\Rightarrow\left(2x-1\right)^4=2^4\)
\(\Rightarrow2x-1=2\)
\(\Rightarrow2x=3\)
\(\Rightarrow x=\dfrac{3}{2}\)
4. \(\left(2x+1\right)^3=125\)
\(\Rightarrow\left(2x+1\right)^3=5^3\)
\(\Rightarrow2x+1=5\)
\(\Rightarrow2x=4\)
\(\Rightarrow x=2\)
\(27-\left(2x+1\right)=4\)
\(2x+1=27-4\)
\(2x+1=23\)
\(2x=23-1\)
\(2x=22\)
\(x=22:2\)
\(x=11\)
Vậy x = 11
#HQX
Ta có: \(2^4.38-2^4.37\)
\(=2^4.\left(37+1\right)-2^4.37\)
\(=2^4.37+2^4-2^4.37\)
\(=2^4=16\)
(2x-1)4=16
=> (2x-1)4=24
=> 2x-1=2
=> 2x=3
=> x = \(\dfrac{3}{2}\)
( 2x -1)^4 = 16
(2x -1) ^4 = 2^4
=> 2x -1 = 2
=> 2x=2 + 1
=> 2x = 3
=> x= 1,5
Mik ko chắc là làm đúng nha !